Find x and y , if

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Solution

The given matrix equation is,

2[ 1 3 0 x ]+[ y 0 1 2 ]=[ 5 6 1 8 ]

Simplify the given equation.

2[ 1 3 0 x ]+[ y 0 1 2 ]=[ 5 6 1 8 ] [ 2 6 0 2x ]+[ y 0 1 2 ]=[ 5 6 1 8 ] [ 2+y 6 1 2x+2 ]=[ 5 6 1 8 ]

Now, compare both sides of the above equation.

2+y=5 y=3

And

2x+2=8 2x=6 x=3

Thus, the value of x is 3 and the value of yis 3.

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